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Finding the Fourth Proportional to 553.56, 763.86 and 320.64

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Solution

The fourth proportional to 553.56, 763.86 and 320.64 is: 442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.56 : 763.86 = 320.64 : x
  2. Step 2: Convert to fraction form
    553.56/763.86 = 320.64/x
  3. Step 3: Cross multiply
    553.56x = 763.86 × 320.64
  4. Step 4: Simplify right side
    553.56x = 244,924.07
  5. Step 5: Solve for x
    x = 244,924.07/553.56
  6. Step 6: Final answer
    x = 442.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.